Leveled Practice In 8-10, complete each sei to write an equivalent expression. 8. To multiply powers that have the same base and different exponents, keep the base and the exponents. 9. To multiply powers that have different bases and the same exponent, keep the exponent and the bases. 10. To evaluate a power raised to another power, keep the base and the exponents. () ()²-()'² - (0 *--*-0.0* [(8.5)2)6(8.5)26 (8.5) says th

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Practice & Problem Solving
Leveled Practice In 8-10, complete each sentence. Then, use the Laws of Exponents
to write an equivalent expression.
8. To multiply powers that have the same base and
()'. ()²-()'
different exponents, keep the base and
the exponents.
9. To multiply powers that have different bases
and the same exponent, keep the exponent and
the bases.
10. To evaluate power raised to another power,
keep the base and
the exponents.
11. Is the expression [(2.7)4]6 equivalent to the
expression [(2.7)8) 3? Explain. Use a Law of
Exponents to justify your answer.
16. 117.37
19. 1612 or 168 +4
14.
In 13-18, use the Laws of Exponents and Converses of the Laws to write an equivalent
expression for each given expression.
13.23.28
15.65.2.55
17. (135)2
70²
*·-*-00)*
((8.5)216=(8.5)26
= (8.5)
12. Communicate and Justify Zoe says that
23.42 can be rewritten as 86. Juana says that
it can be rewritten as 85. Danladi says that it
cannot be rewritten as either of these
expressions. Who is correct? Explain.
20. (-3¹) ¹8 or (-3¹) ³.6
18. [(8.1)34
21. (-11.25) or (-2.5-4.5)4
1-5 Evaluate Expressions with Exponents
Transcribed Image Text:Name: Practice & Problem Solving Leveled Practice In 8-10, complete each sentence. Then, use the Laws of Exponents to write an equivalent expression. 8. To multiply powers that have the same base and ()'. ()²-()' different exponents, keep the base and the exponents. 9. To multiply powers that have different bases and the same exponent, keep the exponent and the bases. 10. To evaluate power raised to another power, keep the base and the exponents. 11. Is the expression [(2.7)4]6 equivalent to the expression [(2.7)8) 3? Explain. Use a Law of Exponents to justify your answer. 16. 117.37 19. 1612 or 168 +4 14. In 13-18, use the Laws of Exponents and Converses of the Laws to write an equivalent expression for each given expression. 13.23.28 15.65.2.55 17. (135)2 70² *·-*-00)* ((8.5)216=(8.5)26 = (8.5) 12. Communicate and Justify Zoe says that 23.42 can be rewritten as 86. Juana says that it can be rewritten as 85. Danladi says that it cannot be rewritten as either of these expressions. Who is correct? Explain. 20. (-3¹) ¹8 or (-3¹) ³.6 18. [(8.1)34 21. (-11.25) or (-2.5-4.5)4 1-5 Evaluate Expressions with Exponents
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